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31142121201 = 323460235689
BaseRepresentation
bin11101000000001101…
…110000111011110001
32222101100101200010100
4131000031300323301
51002234340334301
622150111423013
72151505443162
oct350015607361
988340350110
1031142121201
1112230a08654
126051524a69
132c23ba2c69
141715dcd769
15c24030286
hex740370ef1

31142121201 has 6 divisors (see below), whose sum is σ = 44983063970. Its totient is φ = 20761414128.

The previous prime is 31142121191. The next prime is 31142121203. The reversal of 31142121201 is 10212124113.

31142121201 is a `hidden beast` number, since 31 + 1 + 421 + 212 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 18231480576 + 12910640625 = 135024^2 + 113625^2 .

It is not a de Polignac number, because 31142121201 - 215 = 31142088433 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (31142121203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1730117836 + ... + 1730117853.

Almost surely, 231142121201 is an apocalyptic number.

It is an amenable number.

31142121201 is a deficient number, since it is larger than the sum of its proper divisors (13840942769).

31142121201 is a wasteful number, since it uses less digits than its factorization.

31142121201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3460235695 (or 3460235692 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 31142121201 its reverse (10212124113), we get a palindrome (41354245314).

The spelling of 31142121201 in words is "thirty-one billion, one hundred forty-two million, one hundred twenty-one thousand, two hundred one".

Divisors: 1 3 9 3460235689 10380707067 31142121201